2565030541 has 24 divisors (see below), whose sum is σ = 2820366360. Its totient is φ = 2329219200.

The previous prime is 2565030521. The next prime is 2565030563. The reversal of 2565030541 is 1450305652.

It can be written as a sum of positive squares in 4 ways, for example, as 13225 + 2565017316 = 115^2 + 50646^2 .

It is not a de Polignac number, because 2565030541 - 2⁵ = 2565030509 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565030511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934431 + ... + 937171.

It is an arithmetic number, because the mean of its divisors is an integer number (117515265).

Almost surely, 2^2565030541 is an apocalyptic number.

It is an amenable number.

2565030541 is a deficient number, since it is larger than the sum of its proper divisors (255335819).

2565030541 is a wasteful number, since it uses less digits than its factorization.

2565030541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 2565030541 is about 50646.1305629561. The cubic root of 2565030541 is about 1368.8762235618.

The spelling of 2565030541 in words is "two billion, five hundred sixty-five million, thirty thousand, five hundred forty-one".